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Finding the Fourth Proportional to 11,206, 16,797.60 and 4,635.76

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Solution

The fourth proportional to 11,206, 16,797.60 and 4,635.76 is: 6,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206 : 16,797.60 = 4,635.76 : x
  2. Step 2: Convert to fraction form
    11,206/16,797.60 = 4,635.76/x
  3. Step 3: Cross multiply
    11,206x = 16,797.60 × 4,635.76
  4. Step 4: Simplify right side
    11,206x = 77,869,642.18
  5. Step 5: Solve for x
    x = 77,869,642.18/11,206
  6. Step 6: Final answer
    x = 6,948.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.